Add 21/30 and 75/21
1st number: 21/30, 2nd number: 3 12/21
21/30 + 75/21 is 299/70.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 21 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
21/30 = 21 × 7/30 × 7 = 147/210 - Likewise, for the 2nd fraction, since 21 × 10 = 210,
75/21 = 75 × 10/21 × 10 = 750/210 - Add the two like fractions:
147/210 + 750/210 = 147 + 750/210 = 897/210 - 897/210 simplified gives 299/70
- So, 21/30 + 75/21 = 299/70
In mixed form: 419/70
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